diff --git a/Dynamic-Programming/ZeroOneKnapsack.js b/Dynamic-Programming/ZeroOneKnapsack.js new file mode 100644 index 0000000000..0274fdefdb --- /dev/null +++ b/Dynamic-Programming/ZeroOneKnapsack.js @@ -0,0 +1,71 @@ +/** + * A Dynamic Programming based solution for calculating Zero One Knapsack + * https://en.wikipedia.org/wiki/Knapsack_problem + */ + +const zeroOneKnapsack = (arr, n, cap, cache) => { + if (cap === 0 || n === 0) { + cache[n][cap] = 0 + return cache[n][cap] + } + if (cache[n][cap] !== -1) { + return cache[n][cap] + } + if (arr[n - 1][0] <= cap) { + cache[n][cap] = Math.max(arr[n - 1][1] + zeroOneKnapsack(arr, n - 1, cap - arr[n - 1][0], cache), zeroOneKnapsack(arr, n - 1, cap, cache)) + return cache[n][cap] + } else { + cache[n][cap] = zeroOneKnapsack(arr, n - 1, cap, cache) + return cache[n][cap] + } +} + +const main = () => { + /* + Problem Statement: + You are a thief carrying a single bag with limited capacity S. The museum you stole had N artifact that you could steal. Unfortunately you might not be able to steal all the artifact because of your limited bag capacity. + You have to cherry pick the artifact in order to maximize the total value of the artifacts you stole. + + Link for the Problem: https://www.hackerrank.com/contests/srin-aadc03/challenges/classic-01-knapsack + */ + let input = `1 + 4 5 + 1 8 + 2 4 + 3 0 + 2 5 + 2 3` + + input = input.trim().split('\n') + input.shift() + const length = input.length + + let i = 0 + while (i < length) { + const cap = Number(input[i].trim().split(' ')[0]) + const currlen = Number(input[i].trim().split(' ')[1]) + let j = i + 1 + const arr = [] + while (j <= i + currlen) { + arr.push(input[j]) + j++ + } + const newArr = [] + arr.map(e => { + newArr.push(e.trim().split(' ').map(Number)) + }) + const cache = [] + for (let i = 0; i <= currlen; i++) { + const temp = [] + for (let j = 0; j <= cap; j++) { + temp.push(-1) + } + cache.push(temp) + } + const result = zeroOneKnapsack(newArr, currlen, cap, cache) + console.log(result) + i += currlen + 1 + } +} + +main()